90582400 has 48 divisors (see below), whose sum is σ = 223774740. Its totient is φ = 36231680.

The previous prime is 90582389. The next prime is 90582419. The reversal of 90582400 is 428509.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 10954 + ... + 17353.

Almost surely, 2^90582400 is an apocalyptic number.

It is an amenable number.

90582400 is an abundant number, since it is smaller than the sum of its proper divisors (133192340).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

90582400 is a wasteful number, since it uses less digits than its factorization.

90582400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28331 (or 28314 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 28.

The square root of 90582400 is about 9517.4786577118. The cubic root of 90582400 is about 449.1050526093.

The spelling of 90582400 in words is "ninety million, five hundred eighty-two thousand, four hundred".